exam Maths Puzzle Numerical Ability

3x/x-1 + 6x-9/x-1 -6 = 0 solve for x

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exam Other Question

In 1,000 samples, assuming that H0 is true, how many times would you expect to commit Type I
error if (a) α = .05, (b) α = .01, and (c) α = .001.
problem set 5.1 #13 page 396

(2/3)^t =9/4

is this how you would do it or am I off?!
2-3^2/ 3-2^

not sure if i'm even on the right track please help